Characteristics of distributed parameter systems: handbook of equations of mathematical physics and distributed parameter systems
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English Russian |
| Published: |
Dordrecht u.a.
Kluwer Acad. Publ.
1993
|
| Series: | Mathematics and its applications
266 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus dem Russ. übers. |
| Physical Description: | XIX, 386 S. |
| ISBN: | 0792324994 |
Staff View
MARC
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| 240 | 1 | 0 | |a Charakteristiki sistem s raspredelennymi parametrami |
| 245 | 1 | 0 | |a Characteristics of distributed parameter systems |b handbook of equations of mathematical physics and distributed parameter systems |c by A. G. Butkovskiy and L. M. Pustyl'nikov |
| 264 | 1 | |a Dordrecht u.a. |b Kluwer Acad. Publ. |c 1993 | |
| 300 | |a XIX, 386 S. | ||
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| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Mathematics and its applications |v 266 | |
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Record in the Search Index
| _version_ | 1804124087323197440 |
|---|---|
| adam_text | Contents
Preface ix
Principal notations xi
Definitions xiv
The system of classification of problems xix
1 Characteristics of distributed systems described by individual equations 1
§ 1. Group (1.0.2) 1
§ 2. Group (1.1.1) 29
§ 3. Group (1.1.2) 31
§ 4. Group (1.2.2) 56
§ 5. Group (2.0.2) Ill
§ 6. Group (2.1.2) 119
§ 7. Group (2.2.2) 126
§ 8. Group (3.0.1) 133
§ 9. Group (3.0.2) 134
§ 10. Group (3.1.1) 142
§ 11. Group (3.1.2) 143
§ 12. Group (3.2.2) 152
§ 13. Group (r.0.2) 161
§ 14. Differential difference equations 162
§ 15. Integral equations 167
§ 16. Integro differential equations 195
2 Characteristics of interconnected distributed systems 200
§ 1. Systems of group (0.1.0) 200
§ 2. Systems of group (1.0.2) 205
§ 3. Systems of group (1.1.2) 228
§ 4. Systems of group (1.2.2) 259
§ 5. Systems of integral equations 311
vii
viii
3 On the practice of finding characteristics of distributed systems 316
§ 1. Introduction 316
§ 2. Finite Integral Transforms of Greenberg and Sobolev 317
2.1 Greenberg Transforms 317
2.2 Sobolev transform 322
§ 3. On a mistake in the application of the Sobolev transform 326
§ 4. Greenberg transforms of some functions and expressions 334
4.1 Delta functions 334
4.2 Arbitrary linear combination of eigenfunctions 334
4.3 Special functions 334
4.4 Derivatives 335
4.5 Derivatives of higher order 336
§ 5. Further properties of finite integral transforms 336
5.1 Liouville s transformation 336
5.2 Asymptotic formulas for eigenvalues 338
5.3 Asymptotics, boundary values, and oscillatory properties of eigen¬
functions 338
5.4 Extremal properties of eigenvalues and eigenfunctions 339
5.5 Asymptotic and approximate expressions for the kernel of the
Sobolev transform 340
5.6 Integral equations for the kernel of the Sobolev transform .... 341
§ 6. Application of finite integral transforms to the analysis of distributed
parameter systems 341
6.1 Standardising functions 342
6.2 Modal representation of the solutions 344
6.3 Transfer functions 345
6.4 The dispersion equation; the sign of the eigenvalues 347
§ 7. Generalised (modified) Green s functions 348
§ 8. On the form of presentation of the states of distributed parameter systems
containing boundary conditions of the first kind 351
§ 9. Normal and anormal systems 356
9.1 Normal system 356
9.2 Anormal system 357
Appendix: Tables of characteristic values 360
Bibliography 373
Index 385
|
| any_adam_object | 1 |
| author | Butkovskij, Anatolij G. Pustylʹnikov, Leonid M. |
| author_facet | Butkovskij, Anatolij G. Pustylʹnikov, Leonid M. |
| author_role | aut aut |
| author_sort | Butkovskij, Anatolij G. |
| author_variant | a g b ag agb l m p lm lmp |
| building | Verbundindex |
| bvnumber | BV009742320 |
| classification_rvk | SK 500 |
| ctrlnum | (OCoLC)468098019 (DE-599)BVBBV009742320 |
| dewey-full | 515.35 003.78 |
| dewey-hundreds | 500 - Natural sciences and mathematics 000 - Computer science, information, general works |
| dewey-ones | 515 - Analysis 003 - Systems |
| dewey-raw | 515.35 003.78 |
| dewey-search | 515.35 003.78 |
| dewey-sort | 3515.35 |
| dewey-tens | 510 - Mathematics 000 - Computer science, information, general works |
| discipline | Informatik Mathematik |
| format | Book |
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| id | DE-604.BV009742320 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:40:05Z |
| institution | BVB |
| isbn | 0792324994 |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006442944 |
| oclc_num | 468098019 |
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| owner_facet | DE-12 DE-703 DE-384 DE-11 DE-188 |
| physical | XIX, 386 S. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Kluwer Acad. Publ. |
| record_format | marc |
| series | Mathematics and its applications |
| series2 | Mathematics and its applications |
| spelling | Butkovskij, Anatolij G. Verfasser aut Charakteristiki sistem s raspredelennymi parametrami Characteristics of distributed parameter systems handbook of equations of mathematical physics and distributed parameter systems by A. G. Butkovskiy and L. M. Pustyl'nikov Dordrecht u.a. Kluwer Acad. Publ. 1993 XIX, 386 S. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications 266 Aus dem Russ. übers. Fonctions de transfert ram Green, Fonctions de ram Systèmes à paramètres répartis ram Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Green-Funktion (DE-588)4158123-4 gnd rswk-swf Übergangsfunktion (DE-588)4186563-7 gnd rswk-swf System mit verteilten Parametern (DE-588)4058803-8 gnd rswk-swf System mit verteilten Parametern (DE-588)4058803-8 s Green-Funktion (DE-588)4158123-4 s DE-604 Übergangsfunktion (DE-588)4186563-7 s Differentialgleichung (DE-588)4012249-9 s 1\p DE-604 Pustylʹnikov, Leonid M. Verfasser aut Mathematics and its applications 266 (DE-604)BV008163334 266 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006442944&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Butkovskij, Anatolij G. Pustylʹnikov, Leonid M. Characteristics of distributed parameter systems handbook of equations of mathematical physics and distributed parameter systems Mathematics and its applications Fonctions de transfert ram Green, Fonctions de ram Systèmes à paramètres répartis ram Differentialgleichung (DE-588)4012249-9 gnd Green-Funktion (DE-588)4158123-4 gnd Übergangsfunktion (DE-588)4186563-7 gnd System mit verteilten Parametern (DE-588)4058803-8 gnd |
| subject_GND | (DE-588)4012249-9 (DE-588)4158123-4 (DE-588)4186563-7 (DE-588)4058803-8 |
| title | Characteristics of distributed parameter systems handbook of equations of mathematical physics and distributed parameter systems |
| title_alt | Charakteristiki sistem s raspredelennymi parametrami |
| title_auth | Characteristics of distributed parameter systems handbook of equations of mathematical physics and distributed parameter systems |
| title_exact_search | Characteristics of distributed parameter systems handbook of equations of mathematical physics and distributed parameter systems |
| title_full | Characteristics of distributed parameter systems handbook of equations of mathematical physics and distributed parameter systems by A. G. Butkovskiy and L. M. Pustyl'nikov |
| title_fullStr | Characteristics of distributed parameter systems handbook of equations of mathematical physics and distributed parameter systems by A. G. Butkovskiy and L. M. Pustyl'nikov |
| title_full_unstemmed | Characteristics of distributed parameter systems handbook of equations of mathematical physics and distributed parameter systems by A. G. Butkovskiy and L. M. Pustyl'nikov |
| title_short | Characteristics of distributed parameter systems |
| title_sort | characteristics of distributed parameter systems handbook of equations of mathematical physics and distributed parameter systems |
| title_sub | handbook of equations of mathematical physics and distributed parameter systems |
| topic | Fonctions de transfert ram Green, Fonctions de ram Systèmes à paramètres répartis ram Differentialgleichung (DE-588)4012249-9 gnd Green-Funktion (DE-588)4158123-4 gnd Übergangsfunktion (DE-588)4186563-7 gnd System mit verteilten Parametern (DE-588)4058803-8 gnd |
| topic_facet | Fonctions de transfert Green, Fonctions de Systèmes à paramètres répartis Differentialgleichung Green-Funktion Übergangsfunktion System mit verteilten Parametern |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006442944&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008163334 |
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